SOLUTION: 162 students receiving awards at an award banquet. 48 receive math awards, 78 receive English awards, and 14 receive both math and English awards. What is the probability that a ra

Algebra ->  Probability-and-statistics -> SOLUTION: 162 students receiving awards at an award banquet. 48 receive math awards, 78 receive English awards, and 14 receive both math and English awards. What is the probability that a ra      Log On


   



Question 1201040: 162 students receiving awards at an award banquet. 48 receive math awards, 78 receive English awards, and 14 receive both math and English awards. What is the probability that a randomly chosen student has won an award for English or math?
Answer by ikleyn(52898) About Me  (Show Source):
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162 students receiving awards at an award banquet.
48 receive math awards, 78 receive English awards, and 14 receive both math and English awards.
What is the probability that a randomly chosen student has won an award for English or math?
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P(English or Math) = P(English) + P(Math) - P(both) = 78%2F162 + 48%2F162 - 14%2F162 = %2878%2B48-14%29%2F162 = 112%2F162 = 56%2F81.    ANSWER

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